Solve the inequality and graph the solution.
7d–20≥
–
76
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
To solve the inequality 7d - 20 ≥ -76, we need to isolate the variable d.
1. Add 20 to both sides of the inequality:
7d - 20 + 20 ≥ -76 + 20
7d ≥ -56
2. Divide both sides by 7:
7d/7 ≥ -56/7
d ≥ -8
The solution to the inequality is d ≥ -8.
To graph the solution on a number line, we start by plotting a closed circle at -8 (since the inequality is "greater than or equal to"). Then we extend a ray to the right, indicating that any value greater than or equal to -8 is a solution.
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